IMathAS-libretexts

For a test of

\displaystyle {H}_{{0}}

\displaystyle {p}={0.60}

, the

\displaystyle {z}

test statistic is determined to be 2

b. If the alternative hypothesis is

\displaystyle {H}_{{a}}:{p}>{0.60}

The

\displaystyle {P}

-value is

c. For a test of

\displaystyle {H}_{{0}}

\displaystyle {p}\ne{0.60}

, the

\displaystyle {P}

-value is

d. Do either of the

\displaystyle {P}

-values in (b) or (c) give significant evidence against

\displaystyle {H}_{{0}}

, using a significance level of 5%?

Both of the $\displaystyle {P}$ -values give significant evidence against $\displaystyle {H}_{{0}}$ . Neither of the $\displaystyle {P}$ -values suggest that the null hypothesis is plausible.
Neither of the $\displaystyle {P}$ -values gives significant evidence against $\displaystyle {H}_{{0}}$ . Both of the $\displaystyle {P}$ -values indicate that the null hypothesis is plausible.
One of the $\displaystyle {P}$ -values gives significant evidence against $\displaystyle {H}_{{0}}$ , and the other $\displaystyle {P}$ -value indicates that the null hypothesis is plausible.